Lattice gas automata with floating-point numbers: A connection between molecular dynamics and lattice Boltzmann method for quantum computers.

Zamora, Antonio David Bastida; Budinski, Ljubomir; Sagaut, Pierre; Lahtinen, Valtteri · Phys Rev E · 2025

basic_science · Level V

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Abstract

Building upon the Integer Lattice Gas Automata framework of Blommel and Wagner [Phys. Rev. E 97, 023310 (2018)2470-004510.1103/PhysRevE.97.023310], we introduce a simplified, fluctuation-free variant. This approach relies on floating-point numbers and closely mirrors the Lattice Boltzmann Method (LBM), with the key distinction being a different collision operator. This operator, derived from the ensemble average of transition probabilities, generates nonlinear terms. We propose this float lattice gas automata collision as a computationally efficient alternative to traditional and quantum LBM implementations.